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3 years ago

Given that the straight line 2x + 3y-10=0 intersects the x - axis at P. Find the

Mathematics

1 answer:

tino4ka555 [31]3 years ago

3 0

Answer:

P(5, 0 )

Step-by-step explanation:

Where the line crosses the x- axis the y- coordinate of the point P is zero.

Substitute y = 0 into the equation and solve for x

2x + 3(0) - 10 = 0 , that is

2x - 10 = 0 ( add 10 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Thus P = (5, 0 )

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Solve the inequality: -2x + 5 ≥ 3x + 20 A) x ≤ 15 B) x ≤ 3 C) x ≥ 3 D) x ≤ -3

balandron [24]

Answer:

D) $x \leqslant - 3$

Explanation provided above.

6 0

3 years ago

There are currently 3000 in the state of Colorado their population is increasing at a rate of 2% per year how many years will it

babymother [125]

Answer:

50 years

Step-by-step explanation:

the answer is 50 years bc 2% of 3000 is 60 and to get to 300 from 60 you would multiply by 50 to get 3000 added to the populationg colorado has now you get 6000.

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3 years ago

F(x)=x2-10 and g(x)=11-x find (f-g)(x)(f-g)(10) and (f/g)(x) if they exist

tester [92]

Answer:

$(f - g)(x) = x^2 + x-21$

$(f - g)(10) = 89$

$(f/g)(x) = \frac{x^2 - 10}{11 - x}$

Step-by-step explanation:

Given

$f(x) = x^2 - 10$

$g(x) = 11 - x$

Solving (1): (f-g)(x)

$(f - g)(x) = f(x) - g(x)$

Substitute values for f(x) and g(x)

$(f - g)(x) = x^2 - 10 - (11 - x)$

Open Bracket

$(f - g)(x) = x^2 - 10 - 11 + x$

$(f - g)(x) = x^2 -21 + x$

Reorder

$(f - g)(x) = x^2 + x-21$

Solving (2): (f-g)(10)

In (1)

$(f - g)(x) = x^2 + x-21$

So:

$(f - g)(10) = 10^2 + 10-21$

$(f - g)(10) = 100 + 10-21$

$(f - g)(10) = 89$

Solving (3): (f/g)(x)

$(f/g)(x) = \frac{f(x)}{g(x)}$

Substitute values for f(x) and g(x)

$(f/g)(x) = \frac{x^2 - 10}{11 - x}$

6 0

3 years ago

Eric was rock climbing. At one point, he stopped and climbed straight down 2 1/2 METERS

sasho [114]

Answer:

$+4\frac{1}{4}$ meters

Step-by-step explanation:

Let's take climbing down as "negative" and climbing up as "positive". Now, we can simply use the numbers and signs to find the change in elevation.

$2\frac{1}{2}$ meters down means $-2\frac{1}{2}$
$6\frac{3}{4}$ meters up means $+6\frac{3}{4}$

So, now we have: $-2\frac{1}{2}+6\frac{3}{4}\\=-\frac{5}{2}+\frac{27}{4}\\=\frac{-5(2)+27}{4}\\=\frac{-10+27}{4}\\=\frac{17}{4}=4\frac{1}{4}$

Eric's elevation changed $4\frac{1}{4}$ meters above. So after the 2 moves, he is up by $4\frac{1}{4}$ meters.

3 0

3 years ago

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Liono4ka [1.6K]

Answer:

a=1

Step-by-step explanation:

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3 years ago

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